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After the expiration date, a vitamin's calcium content decreases. If each tablet initially contains 500 mg of calcium, and 325 mg deteriorates, what is the remaining total amount of calcium per tablet?
- A. 175 mg
- B. 185 mg
- C. 135 mg
- D. 200 mg
Correct Answer: A
Rationale: To determine the remaining calcium content per tablet, subtract the deteriorated amount from the initial amount: 500 mg - 325 mg = 175 mg. After deterioration, each tablet will have 175 mg of calcium remaining. Therefore, the correct answer is A (175 mg). The calculation involves simple subtraction to find the difference between the initial calcium content and the deteriorated amount, providing the accurate remaining total calcium content per tablet.
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Subtract 5/6 - 3/4.
- A. 1
- B. 1/12
- C. 2/24
- D. 1/2
Correct Answer: B
Rationale: When subtracting fractions, the first step is to find a common denominator. In this case, the common denominator is 12. To make 5/6 and 3/4 have a common denominator of 12, we multiply the numerator and denominator of 5/6 by 2 to get 10/12, and we multiply the numerator and denominator of 3/4 by 3 to get 9/12. Now we have 10/12 - 9/12, which simplifies to 1/12. Therefore, the correct answer is 1/12. The subtraction of fractions involves subtracting the numerators while keeping the common denominator. It is essential to understand how to find a common denominator to perform operations on fractions accurately. In this case, converting 5/6 and 3/4 to have a common denominator of 12 allows for a straightforward subtraction process. Remember, always simplify the result if possible to obtain the answer in its simplest form.
Round to the nearest whole number: What is 17 out of 68 as a percent?
- A. 17%
- B. 25%
- C. 32%
- D. 68%
Correct Answer: B
Rationale: To convert a fraction to a percentage, divide the numerator (17) by the denominator (68) to get approximately 0.25. Then, multiply this decimal by 100 to get the percentage. 0.25 * 100 = 25%. Since we are asked to round to the nearest whole number percentage, the answer is 25%. Therefore, the correct choice is B, 25%.
Sally eats 3/5 of her lunch. John eats 75%. Who ate more?
- A. John
- B. Sally
- C. both
- D. equal
Correct Answer: A
Rationale: To compare the amount each person ate, we need to convert the fractions to percentages. Sally ate 3/5, which is equivalent to 60%. John ate 75%. By comparing 60% to 75%, we find that John ate more. Therefore, the correct answer is John, as he consumed a higher percentage of his lunch than Sally did.
Convert 8:44 P.M. to military time. (Enter the numerical value only.)
- A. 2044
- B. 2204
- C. 1844
- D. 2040
Correct Answer: D
Rationale: Correct Answer: D (2040)
Rationale:
1. Military time follows a 24-hour clock.
2. To convert 8:44 P.M. to military time, add 12 hours to the given time.
3. 8 + 12 = 20, so the hour becomes 20.
4. The minute remains the same, so it is 44.
5. Therefore, 8:44 P.M. in military time is 2044.
Summary:
A: 2044 - Incorrect, same as the correct answer but not in the 24-hour clock format.
B: 2204 - Incorrect, it would be the military time for 10:04 P.M.
C: 1844 - Incorrect, it is the original time in the 12-hour clock format, not converted to military time.
If a reader reads 5 pages a day in a book that has 1,025 pages, how many days will it take the reader to finish the book? (Enter a numeric value only.)
- A. 205
- B. 210
- C. 200
- D. 215
Correct Answer: A
Rationale: To determine the number of days needed to finish the book, divide the total number of pages in the book (1,025) by the number of pages read per day (5): 1,025 · 5 = 205. It will take 205 days for the reader to finish the book by reading 5 pages per day. Therefore, the correct answer is A) 205.